Search a number
-
+
950004224 = 2913532693
BaseRepresentation
bin111000100111111…
…110101000000000
32110012121012210122
4320213332220000
53421200113344
6234133515412
732353621421
oct7047765000
92405535718
10950004224
11448286264
122261a2b68
13121a839a0
1490255648
1558607aee
hex389fea00

950004224 has 80 divisors (see below), whose sum is σ = 2083507272. Its totient is φ = 430030848.

The previous prime is 950004191. The next prime is 950004229. The reversal of 950004224 is 422400059.

It can be written as a sum of positive squares in 4 ways, for example, as 716525824 + 233478400 = 26768^2 + 15280^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 950004193 and 950004202.

It is not an unprimeable number, because it can be changed into a prime (950004229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 351422 + ... + 354114.

Almost surely, 2950004224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 950004224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041753636).

950004224 is an abundant number, since it is smaller than the sum of its proper divisors (1133503048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

950004224 is a wasteful number, since it uses less digits than its factorization.

950004224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2777 (or 2761 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 950004224 is about 30822.1385370970. The cubic root of 950004224 is about 983.0490294694.

The spelling of 950004224 in words is "nine hundred fifty million, four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 53 64 104 106 128 208 212 256 416 424 512 689 832 848 1378 1664 1696 2693 2756 3328 3392 5386 5512 6656 6784 10772 11024 13568 21544 22048 27136 35009 43088 44096 70018 86176 88192 140036 142729 172352 176384 280072 285458 344704 352768 560144 570916 689408 1120288 1141832 1378816 1855477 2240576 2283664 3710954 4481152 4567328 7421908 8962304 9134656 14843816 17924608 18269312 29687632 36538624 59375264 73077248 118750528 237501056 475002112 950004224